Question

write integers whose sum is 6 and difference is also 6

Answer 1

6,0 are integers whose sum is 6 and difference is also 6.
proof,
6+0=6
6-0=6

Answer 2

Let the two integers be x,y
So , x+y = 6
x-y=6 or y-x=6
So , (x,y) = (6,0) , (0,6)